Inspired
by John Whitney's pre-computer and computer films, Michael Tusch
and myself developed harmonic mathematics on the shoulders of his
concept
"differential dynamics" - and this was applied to graphic
visuals, sound timbres and melodic loops tha evolved, in the 80s.

Dave
Snowdon from 1995, with this input, developed a programme called Visual
Harmony which embodies and further extends this work in the graphics
area. This has and is being used as a live performance tool at musical
events, and Dave has contributed to the development of the mathematical

There
are some recordings of computer generated electronic music from the
80s which are available for purchase, both of the timbral synthesis
type and the melodic loops type.

The
technical pages here describe the application of harmonic maths to
timbral synthesis (drones that change their harmonic colours in smooth
transitions). The use of HM to create melodic looping music - both
in computer music generation as well as in many of my notated scores
- I will write about soon.